Least Common Multiple (LCM) of 132 and 131
The least common multiple (LCM) of 132 and 131 is 17292.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 132 and 131?
First, calculate the GCD of 132 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 131 = 1 remainder 1 |
| 2 | 131 ÷ 1 = 131 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 174 | 13398 |
| 84 and 177 | 4956 |
| 154 and 153 | 23562 |
| 22 and 182 | 2002 |
| 63 and 144 | 1008 |